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Finding the Fourth Proportional to 1,357.86, 2,036.37 and 691.05

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Solution

The fourth proportional to 1,357.86, 2,036.37 and 691.05 is: 1,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.86 : 2,036.37 = 691.05 : x
  2. Step 2: Convert to fraction form
    1,357.86/2,036.37 = 691.05/x
  3. Step 3: Cross multiply
    1,357.86x = 2,036.37 × 691.05
  4. Step 4: Simplify right side
    1,357.86x = 1,407,233.49
  5. Step 5: Solve for x
    x = 1,407,233.49/1,357.86
  6. Step 6: Final answer
    x = 1,036.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.